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Finding the Fourth Proportional to 350.65, 526.05 and 177.34

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Solution

The fourth proportional to 350.65, 526.05 and 177.34 is: 266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.65 : 526.05 = 177.34 : x
  2. Step 2: Convert to fraction form
    350.65/526.05 = 177.34/x
  3. Step 3: Cross multiply
    350.65x = 526.05 × 177.34
  4. Step 4: Simplify right side
    350.65x = 93,289.71
  5. Step 5: Solve for x
    x = 93,289.71/350.65
  6. Step 6: Final answer
    x = 266.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.